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07.08 Module Seven Practice Test
Matt Goldman 7th Grade Semester B (2023-2024) / Module 07: Probability of Compound Events
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1.
(07.02 LC)
Kim wants to arrange chocolate, vanilla, and pineapple cakes in a row on a shelf. Which tree diagram best shows the sample space of all the possible ways to arrange the three cakes in a row on a shelf, where C is chocolate, V is vanilla, and P is pineapple? (1 point)
A tree diagram is shown. The lines branch out to C, P, and V. In the first row, the lines branch out from C to V to C and from C to P to V. In the second row, the lines branch out from P to C to V and from P to V to P. In the last row, the lines branch out from V to C to P and from V to P to C.
A tree diagram is shown. The lines branch out to C, P, and V. In the first row, the lines branch out from C to V to P and from C to P to V. In the second row, the lines branch out from P to C to V and from P to V to C. In the last row, the lines branch out from V to C to P and from V to P to C.
A tree diagram is shown. The lines branch out to C, P, and V. In the first row, the lines branch out from C to V to P and from C to P to V. In the second row, the lines branch out from P to C to P and from P to V to C. In the last row, the lines branch out from V to C to V and from V to P to C.
A tree diagram is shown. The lines branch out to C, P, and V. In the first row, the lines branch out from C to V to P and from C to P to C. In the second row, the lines branch out from P to C to V and from P to V to C. In the last row, the lines branch out from V to C to P and from V to P to V.
2.
(07.02 HC)
Which table correctly shows all the sample spaces for tossing a coin to get heads and rolling a number on a six-sided number cube? (1 point)
Coin Number
cube Outcome
Tails
1
Tails, 1
Tails
2
Tails, 2
Tails
3
Tails, 3
Tails
4
Tails, 4
Tails
5
Tails, 5
Tails
6
Tails, 6
Coin Number
cube Outcome
Heads
1
Heads, 1
Heads
2
Heads, 2
Heads
3
Heads, 3
Heads
4
Heads, 4
Heads
5
Heads, 5
Heads
6
Heads, 6
Coin Number
cube Outcome
Heads
1
Heads, 2
Heads
2
Heads, 4
Heads
3
Heads, 6
Tails
4
Tails, 2
Tails
5
Tails, 4
Tails
6
Tails, 6
Coin Number
cube Outcome
Heads
2
Heads, 1
Heads
4
Heads, 3
Heads
6
Heads, 5
Tails
2
Tails, 1
Tails
4
Tails, 3
Tails
6
Tails, 5
3.
(07.02 MC)
Jason has two bags with 6 tiles each. The tiles in each bag are shown below:
Make 6 squares. The squares are numbered sequentially from 1 to 6.
Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 5 from the first bag and an odd tile from the second bag? (1 point)
3 over 6
4 over 6
3 over 36
4 over 36
4.
(07.01 LC)
A spinner and 6 cards are shown below:
A spinner with 3 equal sectors is shown in the figure. The colors Green, Blue, and Red are marked on it. The arrow points at the green color. Six cards are shown on the right side. The colors Purple, Green, Red, Yellow, Blue, and Pink are marked on them.
Jordan spins the spinner and picks up a card without looking. What is the probability that the spinner stops at green and a yellow card is selected? (1 point)
1 over 36
1 over 18
1 over 6
1 over 3
5.
(07.01 LC)
Jason tossed a fair coin 3 times. What is the probability of getting a head and two tails in any order? (1 point)
3 over 8
4 over 8
5 over 8
6 over 8
6.
(07.01 MC)
A box has 5 beads of the same size, but all are different colors. Tina draws a bead randomly from the box, notes its color, and then puts the bead back in the box. She repeats this 3 times. What is the probability that Tina would pick a red bead on the first draw, then a green bead, and finally a red bead again? (1 point)
1 over 625
1 over 180
1 over 150
1 over 125
7.
(07.03 MC)
Maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals. Maggie keeps all the tiles on a mat with the pictures hidden and mixes them up. She then turns one tile face up and finds the picture of a plant on it. She removes this tile from the mat and turns over another tile without looking. What is the probability that the second tile that Maggie turns over has a plant on it? (1 point)
22.2%
28.6%
65.0%
75.0%
8.
(07.03 LC)
Greg has a 20% chance of being selected as the president of the school sports club and a 90% chance of being elected editor of the school magazine.
What is the probability that Greg will be selected as the president of the sports club and will also be elected editor of the school magazine? (1 point)
11%
18%
45%
70%
9.
(07.03 MC)
At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 8 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color? (1 point)
8 over 32 multiplied by 8 over 31
8 over 32 plus 8 over 31
8 over 32 plus 7 over 31
8 over 32 multiplied by 7 over 31
1-9 of 9
10. (07.03 MC)
A bag contains 5 blue marbles, 3 red marbles, and 2 green marbles. If a marble is randomly selected, what is the probability that it is not red? (1 point)
1 over 2
3 over 10
4 over 10
6 over 10